Facebook murder is to delete someone from your facebook friends list.

A polite term for shoving a lubricated probe into the Earth's hole to release gas.

1) Maliciously posting harmful, humiliating, or incriminating content on a person's Facebook or other social networking site profile, or on any page of Facebook or another social networking site, in an attempt to make that person commit suicide. Often done as a group activity.
2) (Figurative) Any type of cyberbullying.

1) To commit Facebook murder.
2) (Figurative) To cyberbully.